Thread: Matrix Representation of Linear Transformations

Let V be an n-dimensional vector space with an ordered basis B.
Define T: V → F^n by T(x) = [x]B. Prove that T is linear.



Note that the [x]B is suppose to be a subscript B

Originally Posted by Qt3e_M3

Let V be an n-dimensional vector space with an ordered basis B.
Define T: V → F^n by T(x) = [x]B. Prove that T is linear.



Note that the [x]B is suppose to be a subscript B

You just need to show: (i) i.e. (ii) i.e. .